A thin $33cm25cm$ flat plate is pulled at $3\mathrm{.}2\frac{m}{s}(V$ in figure below$)$ horizontally through a

$3\mathrm{.}6-mm-$thick oil layer sandwiched between two plates, one stationary and the other moving

at a constant velocity of $0\mathrm{.}27\frac{m}{s}(V_w$ in figure below$),$ as shown below. The dynamic viscosity

of the oil is $0\mathrm{.}012Pa*s.$ Assuming the velocity in each oil layer to vary linearly, determine the

force in Newton that needs to be applied on the plate to maintain this motion.